Interstellar

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When time passes more slowly for Cooper and the 23 year mission to Planet Tsunami, does that mean they physically move slower?

So they work out that a few hours on the surface of the planet would equate to 2 years or something. I want to know how this actually happens.

What I don't understand is how the time difference between two people can alter so drastically when relatively they are quite close to each other.

qZOZ3.gif

Consider the thought experiment shown above. We have a mirror hovering above a black hole at some fixed distance r, and from well away from the black hole we shine a light ray onto the mirror and time how long the light ray takes to reach the mirror and return. The distance from us to the mirror is d as measured in our coordinate system. We know light moves at a fixed speed of c, so the time for the light to reach the mirror and return is just t0=2d/c i.e. distance divided by velocity.

Well, no. The time I've calculated above only holds in flat space i.e. if the black hole isn't there. When we have a black hole curving space there is a problem because if we solve the equations of motion for the light ray in the presence of the black hole we find it moves further than d, and the time we measure for the return journey, tbh is therefore longer than t0.

So the light appears to be moving more slowly when the black hole is present, because it takes longer to reach the mirror and return than we think. But we know the speed of light is fixed at c, so the only other explanation is that time has slowed down for the light ray as it neared the black hole, and this is the gravitational time dilation.

So is this saying they measure Light reflecting into a black hole and that's why they think time slows down? And could it not just be a property about Light we don't know yet?
 
From what i understand, light is the thing by which we measure all concepts of speed, time, etc.

Black holes are incredibly dense, complex things for light to traverse, so when Cooper and the others spend time close to one of these black holes, their experiences seem to be 'slow' compared to the people on earth.

So while they may not be physically moving slower, the representation of their actions is slowed by the black hole and light's ability to traverse it.

It's extremely complex science to try and understand.
 

When time passes more slowly for Cooper and the 23 year mission to Planet Tsunami, does that mean they physically move slower?

So they work out that a few hours on the surface of the planet would equate to 2 years or something. I want to know how this actually happens.

What I don't understand is how the time difference between two people can alter so drastically when relatively they are quite close to each other.

qZOZ3.gif



So is this saying they measure Light reflecting into a black hole and that's why they think time slows down? And could it not just be a property about Light we don't know yet?

From what i understand, light is the thing by which we measure all concepts of speed, time, etc.

Black holes are incredibly dense, complex things for light to traverse, so when Cooper and the others spend time close to one of these black holes, their experiences seem to be 'slow' compared to the people on earth.

So while they may not be physically moving slower, the representation of their actions is slowed by the black hole and light's ability to traverse it.

It's extremely complex science to try and understand.

This was niggling me a bit while I was watching it. I'm no physicist but have read bits and pieces, relativistic time dilation is, I think, a fairly well understood property of relative differences in the passing of time due to speed and velocity and also proximity to gravitational objects. The faster something travels the slower time passes for that object. If humans on a ship were to travel at high speed, the closer they get to the speed of light, the slower time passes for them relative to everyone back on earth. This was the effect I think Interstellar was trying to demonstrate, where decades would pass on Earth but only months or years on the ship. I think to make the film more dynamic they used gravitational time dilation; wherein time passes more slowly for objects/persons the nearer they are to a source of high gravity. You can see this with GPS satellites, time passes for them more quickly as they are further from Earths gravity, it's only fractional but it is present, enough that over time the effect has to be compensated for by re-synching the clocks.

The important thing is, the difference in the passage of time is only perceptible to the observers relative to each other, on a local level the feeling of time passing is physically the same.
 
From what i understand, light is the thing by which we measure all concepts of speed, time, etc.

Black holes are incredibly dense, complex things for light to traverse, so when Cooper and the others spend time close to one of these black holes, their experiences seem to be 'slow' compared to the people on earth.

So while they may not be physically moving slower, the representation of their actions is slowed by the black hole and light's ability to traverse it.

It's extremely complex science to try and understand.

But bloody interesting, I could read or watch docos for days about the subject.
 
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